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Finding the Fourth Proportional to 12,816.69, 17,687.84 and 7,151.46

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Solution

The fourth proportional to 12,816.69, 17,687.84 and 7,151.46 is: 9,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.69 : 17,687.84 = 7,151.46 : x
  2. Step 2: Convert to fraction form
    12,816.69/17,687.84 = 7,151.46/x
  3. Step 3: Cross multiply
    12,816.69x = 17,687.84 × 7,151.46
  4. Step 4: Simplify right side
    12,816.69x = 126,493,844.49
  5. Step 5: Solve for x
    x = 126,493,844.49/12,816.69
  6. Step 6: Final answer
    x = 9,869.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.